3.3 Analyzing Properties of the Resulting Sequence or Word

 3.3  Analyzing Properties of the Resulting Sequence or Word - Practice

3.3  Analyzing Properties of the Resulting Sequence or Word

• Description: After applying alternating shifts to a sequence or word, the task is to analyze properties of the resulting sequence, such as the number of vowels, consonants, or specific letter types, or to compare properties before and after the shifts.
• Example Question: In the sequence A, B, C, D, E, shift odd-positioned letters forward by 3 and even-positioned letters backward by 2. How many vowels are in the new sequence? (Vowels: A, E, I, O, U)
  • Solution:
    • A (1st, odd): A (1) + 3 = 4 → D (consonant).
    • B (2nd, even): B (2) - 2 = 26 (mod 26) → Z (consonant).
    • C (3rd, odd): C (3) + 3 = 6 → F (consonant).
    • D (4th, even): D (4) - 2 = 2 → B (consonant).
    • E (5th, odd): E (5) + 3 = 8 → I (vowel).
    • New sequence: D, Z, F, B, I. Vowels: I (1 vowel).
• Key Focus: Applying shifts and evaluating properties like vowel/consonant counts or letter patterns.
• Variants:
  • Count vowels or consonants in the new sequence.
  • Compare vowel/consonant counts before and after shifts.
  • Identify specific letter types (e.g., how many letters are in the first half of the alphabet, A-M).
  • Check for repeated letters or specific patterns (e.g., are any letters unchanged?).